101260560 has 120 divisors (see below), whose sum is σ = 322407936. Its totient is φ = 26289920.

The previous prime is 101260501. The next prime is 101260583. The reversal of 101260560 is 65062101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 530065 + ... + 530255.

Almost surely, 2^101260560 is an apocalyptic number.

101260560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101260560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161203968).

101260560 is an abundant number, since it is smaller than the sum of its proper divisors (221147376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101260560 is a wasteful number, since it uses less digits than its factorization.

101260560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 101260560 is about 10062.8306156866. The cubic root of 101260560 is about 466.1010789719.

The spelling of 101260560 in words is "one hundred one million, two hundred sixty thousand, five hundred sixty".